The English monarch will witness exhibition hurling and football matches at the site of the original Bloody Sunday atrocity.
But security chiefs fear Republican sympathizers will use the Croke Park visit to mount further demonstrations against the presence of a British Queen on Irish soil.
A police spokesman said: “The level of security evident on Tuesday will continue throughout the Queen’s visit to Ireland, including her visit to Croke Park on Wednesday.”
Irish police will also maintain their high alert for protests when the Queen makes a number of other public appearances in Dublin today.
Her itinerary includes a tour of the Guinness hop store, an official visit to government buildings, a wreath laying ceremony at the Irish War Memorial Garden in Islandbridge and a state dinner at Dublin Castle.
Meanwhile, a total of 20 people were charged with public order offences after demonstrations marked the opening day of the Royal visit on Tuesday.
Police chiefs expect further disruption across a series of events on Tuesday as dissident Republicans attempt to disrupt the visit once again.